38760228864 has 480 divisors, whose sum is σ = 136994457600. Its totient is φ = 10683187200.

The previous prime is 38760228841. The next prime is 38760228883. The reversal of 38760228864 is 46882206783.

38760228864 is a `hidden beast` number, since 3 + 8 + 7 + 602 + 28 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 38760228864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33674689 + ... + 33675839.

It is an arithmetic number, because the mean of its divisors is an integer number (285405120).

Almost surely, 2^38760228864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38760228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68497228800).

38760228864 is an abundant number, since it is smaller than the sum of its proper divisors (98234228736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38760228864 is a wasteful number, since it uses less digits than its factorization.

38760228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 38760228864 in words is "thirty-eight billion, seven hundred sixty million, two hundred twenty-eight thousand, eight hundred sixty-four".